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8423424 = 21132457
BaseRepresentation
bin100000001000…
…100000000000
3120211221202200
4200020200000
54124022144
6500313200
7131412042
oct40104000
916757680
108423424
114833709
1229a2800
13198c099
141193a92
15b15c69
hex808800

8423424 has 72 divisors (see below), whose sum is σ = 24381630. Its totient is φ = 2801664.

The previous prime is 8423423. The next prime is 8423447. The reversal of 8423424 is 4243248.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5760000 + 2663424 = 2400^2 + 1632^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (8423423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18204 + ... + 18660.

Almost surely, 28423424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190815).

8423424 is an abundant number, since it is smaller than the sum of its proper divisors (15958206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8423424 is a wasteful number, since it uses less digits than its factorization.

8423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 462 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 8423424 is about 2902.3135599035. The cubic root of 8423424 is about 203.4680489210.

The spelling of 8423424 in words is "eight million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 457 512 576 768 914 1024 1152 1371 1536 1828 2048 2304 2742 3072 3656 4113 4608 5484 6144 7312 8226 9216 10968 14624 16452 18432 21936 29248 32904 43872 58496 65808 87744 116992 131616 175488 233984 263232 350976 467968 526464 701952 935936 1052928 1403904 2105856 2807808 4211712 8423424